{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib绘制折线图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.arange(10)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4.17022005e-01, 7.20324493e-01, 1.14374817e-04, 3.02332573e-01,\n",
       "       1.46755891e-01, 9.23385948e-02, 1.86260211e-01, 3.45560727e-01,\n",
       "       3.96767474e-01, 5.38816734e-01])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "y = np.random.random(size=10)\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, color='r', linestyle='--', marker='o')    # linestyle:    -  --  -.  :   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "简写形式"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, 'c--D')    # linestyle:    -  --  -.  :   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.1010101 ,  0.2020202 ,  0.3030303 ,  0.4040404 ,\n",
       "        0.50505051,  0.60606061,  0.70707071,  0.80808081,  0.90909091,\n",
       "        1.01010101,  1.11111111,  1.21212121,  1.31313131,  1.41414141,\n",
       "        1.51515152,  1.61616162,  1.71717172,  1.81818182,  1.91919192,\n",
       "        2.02020202,  2.12121212,  2.22222222,  2.32323232,  2.42424242,\n",
       "        2.52525253,  2.62626263,  2.72727273,  2.82828283,  2.92929293,\n",
       "        3.03030303,  3.13131313,  3.23232323,  3.33333333,  3.43434343,\n",
       "        3.53535354,  3.63636364,  3.73737374,  3.83838384,  3.93939394,\n",
       "        4.04040404,  4.14141414,  4.24242424,  4.34343434,  4.44444444,\n",
       "        4.54545455,  4.64646465,  4.74747475,  4.84848485,  4.94949495,\n",
       "        5.05050505,  5.15151515,  5.25252525,  5.35353535,  5.45454545,\n",
       "        5.55555556,  5.65656566,  5.75757576,  5.85858586,  5.95959596,\n",
       "        6.06060606,  6.16161616,  6.26262626,  6.36363636,  6.46464646,\n",
       "        6.56565657,  6.66666667,  6.76767677,  6.86868687,  6.96969697,\n",
       "        7.07070707,  7.17171717,  7.27272727,  7.37373737,  7.47474747,\n",
       "        7.57575758,  7.67676768,  7.77777778,  7.87878788,  7.97979798,\n",
       "        8.08080808,  8.18181818,  8.28282828,  8.38383838,  8.48484848,\n",
       "        8.58585859,  8.68686869,  8.78787879,  8.88888889,  8.98989899,\n",
       "        9.09090909,  9.19191919,  9.29292929,  9.39393939,  9.49494949,\n",
       "        9.5959596 ,  9.6969697 ,  9.7979798 ,  9.8989899 , 10.        ])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 100)\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        ,  0.10083842,  0.20064886,  0.2984138 ,  0.39313661,\n",
       "        0.48385164,  0.56963411,  0.64960951,  0.72296256,  0.78894546,\n",
       "        0.84688556,  0.8961922 ,  0.93636273,  0.96698762,  0.98775469,\n",
       "        0.99845223,  0.99897117,  0.98930624,  0.96955595,  0.93992165,\n",
       "        0.90070545,  0.85230712,  0.79522006,  0.73002623,  0.65739025,\n",
       "        0.57805259,  0.49282204,  0.40256749,  0.30820902,  0.21070855,\n",
       "        0.11106004,  0.01027934, -0.09060615, -0.19056796, -0.28858706,\n",
       "       -0.38366419, -0.47483011, -0.56115544, -0.64176014, -0.7158225 ,\n",
       "       -0.7825875 , -0.84137452, -0.89158426, -0.93270486, -0.96431712,\n",
       "       -0.98609877, -0.99782778, -0.99938456, -0.99075324, -0.97202182,\n",
       "       -0.94338126, -0.90512352, -0.85763861, -0.80141062, -0.73701276,\n",
       "       -0.66510151, -0.58640998, -0.50174037, -0.41195583, -0.31797166,\n",
       "       -0.22074597, -0.12126992, -0.0205576 ,  0.0803643 ,  0.18046693,\n",
       "        0.27872982,  0.37415123,  0.46575841,  0.55261747,  0.63384295,\n",
       "        0.7086068 ,  0.77614685,  0.83577457,  0.8868821 ,  0.92894843,\n",
       "        0.96154471,  0.98433866,  0.99709789,  0.99969234,  0.99209556,\n",
       "        0.97438499,  0.94674118,  0.90944594,  0.86287948,  0.8075165 ,\n",
       "        0.74392141,  0.6727425 ,  0.59470541,  0.51060568,  0.42130064,\n",
       "        0.32770071,  0.23076008,  0.13146699,  0.03083368, -0.07011396,\n",
       "       -0.17034683, -0.26884313, -0.36459873, -0.45663749, -0.54402111])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = np.sin(x)\n",
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  0.99490282,  0.97966323,  0.95443659,  0.91948007,\n",
       "        0.87515004,  0.8218984 ,  0.76026803,  0.69088721,  0.61446323,\n",
       "        0.53177518,  0.44366602,  0.35103397,  0.25482335,  0.15601496,\n",
       "        0.0556161 , -0.04534973, -0.14585325, -0.24486989, -0.34139023,\n",
       "       -0.43443032, -0.52304166, -0.60632092, -0.68341913, -0.75355031,\n",
       "       -0.81599952, -0.87013012, -0.91539031, -0.95131866, -0.97754893,\n",
       "       -0.9938137 , -0.99994717, -0.9958868 , -0.981674  , -0.95745366,\n",
       "       -0.92347268, -0.88007748, -0.82771044, -0.76690542, -0.69828229,\n",
       "       -0.6225406 , -0.54045251, -0.45285485, -0.36064061, -0.26474988,\n",
       "       -0.16616018, -0.06587659,  0.03507857,  0.13567613,  0.23489055,\n",
       "        0.33171042,  0.4251487 ,  0.51425287,  0.59811455,  0.67587883,\n",
       "        0.74675295,  0.8100144 ,  0.86501827,  0.91120382,  0.94810022,\n",
       "        0.97533134,  0.99261957,  0.99978867,  0.99676556,  0.98358105,\n",
       "        0.96036956,  0.9273677 ,  0.88491192,  0.83343502,  0.77346177,\n",
       "        0.70560358,  0.63055219,  0.54907273,  0.46199582,  0.37020915,\n",
       "        0.27464844,  0.17628785,  0.07613012, -0.0248037 , -0.12548467,\n",
       "       -0.2248864 , -0.32199555, -0.41582217, -0.50540974, -0.58984498,\n",
       "       -0.66826712, -0.7398767 , -0.8039437 , -0.859815  , -0.90692104,\n",
       "       -0.94478159, -0.97301068, -0.99132055, -0.99952453, -0.99753899,\n",
       "       -0.98538417, -0.96318398, -0.93116473, -0.88965286, -0.83907153])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y2 = np.cos(x)\n",
    "y2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, label='sin(x)')\n",
    "plt.plot(x, y2, label='cos(x)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, label='sin(x)')\n",
    "plt.plot(x, y2, label='cos(x)')\n",
    "plt.legend()\n",
    "\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y axis\")\n",
    "\n",
    "plt.title(\"demo\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, label='sin(x)')\n",
    "plt.plot(x, y2, label='cos(x)')\n",
    "plt.legend()\n",
    "\n",
    "plt.axis([-5, 15, -2, 2])\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
